Shenzhen University School of Mathematical Sciences

Liyuan Scholars Colloquium No. 127

Lecture Title: Modern Analysis Inspired by the Analytical Theory of Heat

Speaker: Fan Aihua (Professor, University of Picardie Jules Verne, France)

Date & Time: 10:30–11:30 AM, May 21, 2025  

Venue: Classroom 1, Huixing Building, Yuehai Campus, Shenzhen University

Abstract: The analytical theory of heat emerged in 1807, with Fourier's establishment of the heat conduction equation marking the first genuine mathematical physics equation. Fourier analysis became a pivotal method for solving such equations. Dirichlet regarded Fourier's work as opening a new path for the application of analysis, while Riemann saw the development of Fourier analysis as ushering in a new era—the flourishing age of mathematical physics. This lecture will trace the contributions of Fourier and his followers Dirichlet, Riemann, and Cantor to Fourier analysis, as well as the impact of Fourier analysis research on the development of modern analysis (e.g., concepts of functions, integration theory, set theory, topology). We will also share the story of Fourier as a historian and politician.

Biography: Fan Aihua is a special professor at the University of Picardie Jules Verne, France, a Distinguished Professor at Wuhan University, a Wallenberg Visiting Professor in Sweden, a recipient of national high-level talent programs, and a holder of an overseas cooperation fund from the National Natural Science Foundation of China (Chinese Academy of Sciences Institute of Mathematics). She earned her Ph.D. from the University of Paris-Sud (now University of Paris-Saclay). Her main research areas include dynamical systems and ergodic theory, Fourier analysis, geometric measure theory, probability theory, and stochastic chaos.

All faculty and students are welcome to attend!

School of Mathematical Sciences

May 12, 2025